Lattices of intermediate subfactors for type III factors

Tamotsu Teruya, Yasuo Watatani

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Let M be a factor and N a subfactor of M with finite index. If N is an irreducible subfactor of M, then the intermediate subfactor lattice for the inclusion N ⊂ M is a finite lattice. In a common discrete decomposition intermediate subfactor lattices of type II and type III inclusions are different in general. But they are isomorphic in a common continuous decomposition of a type III1 inclusion. We determine the structure of lattices of subfactors with index 4 without the assumption of AFD.

Original languageEnglish
Pages (from-to)454-463
Number of pages10
JournalArchiv der Mathematik
Volume68
Issue number6
DOIs
Publication statusPublished - Jun 2 1997

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Subfactors
Inclusion
Decompose
Isomorphic

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Lattices of intermediate subfactors for type III factors. / Teruya, Tamotsu; Watatani, Yasuo.

In: Archiv der Mathematik, Vol. 68, No. 6, 02.06.1997, p. 454-463.

Research output: Contribution to journalArticle

Teruya, Tamotsu ; Watatani, Yasuo. / Lattices of intermediate subfactors for type III factors. In: Archiv der Mathematik. 1997 ; Vol. 68, No. 6. pp. 454-463.
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